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Separation Process Engineering: Includes Mass Transfer Analysis, Third Edition by Phillip C. Wankat

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18.5.2 Movement of Ions

The solute movement theory developed in Sections 18.3. and 18.4. is easily extended to ion movement. For gel-type ion-exchange resins, which are most popular, there are no permanent pores and εp = 0. The development of the solute movement theory from Eqs. (18-10) to (18-14) is modified by setting εp = 0, expressing concentrations in terms of the equivalent fractions x and y, and including a Donnan exclusion factor KDE. The result is

Image

(18-44)

Co-ions (ions with the same charge as the ions fixed to the resin) are excluded and they have KDE = 0. Exchanging ions are not excluded and KDE = 1. Note that the (1 − εe) ρs term does ...

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